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Finding the Fourth Proportional to 2,069,829,849,209.70, 3,104,744,773,814.40 and 2,069,829,849,209.70

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Solution

The fourth proportional to 2,069,829,849,209.70, 3,104,744,773,814.40 and 2,069,829,849,209.70 is: 3,104,744,773,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,829,849,209.70 : 3,104,744,773,814.40 = 2,069,829,849,209.70 : x
  2. Step 2: Convert to fraction form
    2,069,829,849,209.70/3,104,744,773,814.40 = 2,069,829,849,209.70/x
  3. Step 3: Cross multiply
    2,069,829,849,209.70x = 3,104,744,773,814.40 × 2,069,829,849,209.70
  4. Step 4: Simplify right side
    2,069,829,849,209.70x = 6,426,293,407,018,863,340,552,192
  5. Step 5: Solve for x
    x = 6,426,293,407,018,863,340,552,192/2,069,829,849,209.70
  6. Step 6: Final answer
    x = 3,104,744,773,814.40

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